Transformation Properties of a Class of Variable Coefficient Boiti–Leon–Manna–Pempinelli Equations

Transformation Properties of a Class of Variable Coefficient Boiti–Leon–Manna–Pempinelli Equations

We derive the enhanced Lie group classification for a general class of variable coefficient Boiti–Leon–Manna–Pempinelli equations. This task is achieved with the use of the equivalence group admitted by the class. Using the admitted equivalence group, we transform the general class into a much simpl...

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Veröffentlicht in:Axioms 2024-01, Vol.13 (2), p.82
1. Verfasser: Sophocleous, Christodoulos
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Boiti–Leon–Manna–Pempinelli equations
Coefficient of variation
Differential equations, Partial
Equivalence
equivalence group
Lie group classification
Lie groups
Mathematical analysis
Mathematical research
non-Lie reduction operators
Partial differential equations
Transformations (Mathematics)
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Zusammenfassung:We derive the enhanced Lie group classification for a general class of variable coefficient Boiti–Leon–Manna–Pempinelli equations. This task is achieved with the use of the equivalence group admitted by the class. Using the admitted equivalence group, we transform the general class into a much simpler class of equations. Additionally, examples of non-Lie reduction operators are presented.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms13020082